Ingeniería Biomédica
2024-08-12
The function must have an average value of zero. Mathematically, this is expressed as:
\[\int_{-\infty}^{\infty} \psi(t) \, dt = 0\]
This condition ensures that the wavelet can detect changes or “details” in the signal rather than its average or constant components.
The function \(\psi(t)\) must be square integrable, meaning it has finite energy:
\[\int_{-\infty}^{\infty} |\psi(t)|^2 \, dt < \infty\]